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Finding the Fourth Proportional to 186,672.40, 257,627.64 and 114,117.76

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Solution

The fourth proportional to 186,672.40, 257,627.64 and 114,117.76 is: 157,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,672.40 : 257,627.64 = 114,117.76 : x
  2. Step 2: Convert to fraction form
    186,672.40/257,627.64 = 114,117.76/x
  3. Step 3: Cross multiply
    186,672.40x = 257,627.64 × 114,117.76
  4. Step 4: Simplify right side
    186,672.40x = 29,399,889,298.95
  5. Step 5: Solve for x
    x = 29,399,889,298.95/186,672.40
  6. Step 6: Final answer
    x = 157,494.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.